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49105440 = 25365421
BaseRepresentation
bin1011101101010…
…0101000100000
310102101211000000
42323110220200
5100032333230
64512300000
71134250356
oct273245040
9112354000
1049105440
112579a70a
1214541600
13a234197
1467437d6
15449eb60
hex2ed4a20

49105440 has 168 divisors, whose sum is σ = 174350988. Its totient is φ = 13063680.

The previous prime is 49105417. The next prime is 49105447. The reversal of 49105440 is 4450194.

It can be written as a sum of positive squares in 2 ways, for example, as 40602384 + 8503056 = 6372^2 + 2916^2 .

It is a super-2 number, since 2×491054402 = 4822688475187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (49105447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116430 + ... + 116850.

Almost surely, 249105440 is an apocalyptic number.

49105440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87175494).

49105440 is an abundant number, since it is smaller than the sum of its proper divisors (125245548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49105440 is an equidigital number, since it uses as much as digits as its factorization.

49105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 49105440 is about 7007.5273813236. The cubic root of 49105440 is about 366.1928572415.

The spelling of 49105440 in words is "forty-nine million, one hundred five thousand, four hundred forty".